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# If 48 marbles are to be divided between bill and carl in the ratio 3:5 how man y marbles will bill get?

Ratio word problems and proportions dealing with word problems.

Another way to approach this question would be to consider how many equal parts are being distrubed. Looking at the ratio of 3:5 as  "for every 3 marbles that Bill gets, Carl get 5," it is easier understand that the marbles will be split into 8 equal parts.

The total marbles: 48 ;
divided by the number of equal parts: 8
gives you 8 groups of 6 marble.
If Bill gets 3 of the groups (each having 6 marbles)
he has a total of 6*3 marbles or 18 marbles.
other approaches

the ratio is 3 to 5
Bill gets 3 marbles for every 8 there are
there are 48 marbles
48/8=6
6x3=18 marbles

(3x)/(5x) for some x simplifies to 3/5 and 3x+5x=48
8x=48
x=6
3*6=18 and 5*6=30
18/30 obviously simplifies to 3/5
the ratio is # of Bill's marbles/# of Carl's marbles, so Bill gets 18 marbles
This is a good problem to use ratio/proportion but we have to make sure we use the correct ratio when solving.  The ratio we are given is 3:5 but that is Bill:Carl.  We are also given the total so our ratio should be set up as Bills Marbles:Total Marbles.  That would be 3:8.  We know that the total marbles is 48.  The unknown is Bill's marbles (x).

So since the ratios have to be the same we know that x:48 = 3:8 or x/48 = 3/8.

Cross multiply 8x = 144.

Divide each side by 8.  8x/8 =144/8.

x = 18.  Carl gets the other 30.  Bill:Carl = 18:30 = 3:5.